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balu736 [363]
3 years ago
6

Graph the hyperbola y^2/16-x^2/9=1. What type of transverse axis does it have?

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
<span>Center(0,0)
a^2=16
a=4
b^2=9

b=3
c^2=a^2+b^2=16+9=25
c=√25=5</span>
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Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
valentinak56 [21]

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

8 0
2 years ago
3) A tour trolley covers a distance of 8.5 miles in of an hour.
sp2606 [1]

Answer:

a) Ans: 8.5 miles per hour

b) Ans: 46.75 miles

Step-by-step explanation:

a) Speed = Distance/Time

8.5/1h = 8.5 miles per hour

b) Distance = Speed x Time

8.5 miles per hour x 5.5h = 46.75 miles

5 0
3 years ago
Which of the following expressions is equal to 3x^2 + 27
Kisachek [45]
Factor: 
3x^2 + 27
= 3(x^2  + 9)
Answer is 3(x^2 + 9), when factored.


A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2



B) (3x - 9i)(x + 3i)
= (3x +  - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2


C) (3x - 6i)(x + 21i)
= (3x +  - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
=  - 126i^2 + 57ix + 3x^2






D) (3x - 9i)(x - 3i)
=  (3x +   - 9)(x +  - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x









Hope that helps!!!

8 0
3 years ago
Read 2 more answers
Jed wants to earn 25% annual net income on his $50,000 cash investment in property his annual expense of owning the property are
Elena L [17]

Answer: $1,842

Step-by-step explanation:

John wants to earn 25% of his investment of $50,000 which is:

= 25% * 50,000

= $12,500

He has expenses of $9,600 yearly so the rent he should charge per year in order to make his 25% requirement as income is:

= Expenses + Return

= 9,600 + 12,500

= $22,100

Rent per month is:

= 22,100 / 12

= $1,842

8 0
3 years ago
Cosa/2-tana +sina/1-cota=cosa+sina​
Inessa05 [86]

Answer:

Cosa/2-tana+sina

Step-by-step explanation:

Cosatana

7 0
1 year ago
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